accidentally deleted an Application on my iphone 5 and with it lost important files. How get back

I accidentally deleted an Application on my iphone 5 and with it lost important files. How do i get back these files. The last iphone backup sync was after this so I cant even access an older back up as I cannot find them. How do I get back my Lost files.
Correct Answer

Any emails on the server will be restored to your phone. After you restore from backup, you sync to restore iTunes content or re-download such to your phone. No iTunes content is included in an iPhone backup. For apps, only app data is included in an iPhone backup, not the actual app.
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